A stabilized finite element method based on local polynomial pressure projection for the stationary Navier-Stokes equations
A stabilized finite element method based on local polynomial pressure projection for the stationary Navier-Stokes equations
复制标题
基于局部多项式压力投影的平稳纳维-斯托克斯方程的稳定有限元方法
DOI：
10.1016/j.apnum.2007.08.005
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发表时间：
2008-10-01
影响因子：
2.8
通讯作者：
Li, Jian
中科院分区：
文献类型：
--
作者：
He, Yinnian;Li, Jian
本文考虑了基于局部多项式压力投影的平稳Navier-Stokes方程非奇异解分支的稳定有限元逼近，并利用最低等阶元进行了逼近。所提出的稳定方法具有许多吸引人的计算性质。首先，它不受稳定化参数的影响。其次，它只需要简单有效地计算高斯积分残差项。第三，它可以在元素级别实现。采用标准有限元技术得到了最优误差估计。最后，通过一系列数值实验，与其他方法进行了比较，结果表明该方法具有更好的稳定性和精度。(c) 2007年图像。Elsevier B.V.版权所有。
This article considers a stabilized finite element approximation for the branch of nonsingular solutions of the stationary Navier-Stokes equations based on local polynomial pressure projection by using the lowest equal-order elements. The proposed stabilized method has a number of attractive computational properties. Firstly, it is free from stabilization parameters. Secondly, it only requires the simple and efficient calculation of Gauss integral residual terms. Thirdly, it can be implemented at the element level. The optimal error estimate is obtained by the standard finite element technique. Finally, comparison with other methods, through a series of numerical experiments, shows that this method has better stability and accuracy. (C) 2007 IMACS. Published by Elsevier B.V. All rights reserved.